Test Corrections and Retakes: These will only be offered if ALL homework from a unit is completed. Test corrections and retakes are offered until the next chapter/unit test or assessment.
Folders: Remember, you should be turning in homework in a folder you keep in the classroom. Ms. Wood checks folders about once a week. Make sure you have one to look at!
We worked to find patterns between equations and setting up graphs To graph a quadratic: 1.) Find the vertex point, and put it in the middle of your x-y Table 2.) Finish your x-list based on the vertex. Plug x-values into the equation to find the y-values. 3.) Plot (x,y) pairs on the graph. Connect the dots.
Video Example for Graphing: Graph Video Notes on Graphing:
We talked about situations that involve quadratic types of relationships, such as throwing a ball, diving from a cliff, and being shooting a firework. Vocab:
Parabola: The shape of a quadratic graph (u-shape)
Roots: The zeros, solutions, or x-intercepts
Vertex: The highest or lowest point on a parabola
Starting Point: The y-intercept
Axis of Symmetry: The line that cuts the parabola in half. Goes through the vertex
What are we finding by factoring?
The roots of a quadratic are the answers we tend to look for. They are where ax2 + bx + c = 0 and where the U-shaped graph touches the x-axis.
Complete the investigation to see how factoring can help you to find zeros or roots of quadratic equations. Example: In the picture the roots (answers) are x = -3 and x = 2
Find the Greatest Common Factor (GCF) for each of the terms in the polynomial. Divide it out. The GCF is the biggest number that goes into every term evenly.
Names: 6 Constant (1 term, no variables) 4x Mononmial (1 term) 4x + 18 Binomial (2 terms) 4x^3 + 5x + 11 Trinomial (3 terms) Standard Form: Terms are in order from the highest exponent to the lowest exponent. Example: 14x^3 + 8x^5 - 2x should be 8x^5 + 14x^3 - 2x
Addition: Combine Like Terms HW4 due Friday 4/8/2011
Monday 3/07/2011: Exponent Laws for Zero and Negative Exponents Anything to the zero power is 1. Negative exponents become fractions. Examples: Thursday 3/03/2011: Exponent Laws for Division When dividing, you can subtract the exponents. Examples: Wednesday 3/02/2011: Exponent Laws for Exponents raised to Powers (a power to a power) When you have a power raised to another power, you can multiply the exponents. Example:
Tuesday 3/01/2011: Exponent Laws for Multiplication When you multiply two things with the same base, you can add the exponents. Example:
Welcome to Algebra 1 Trimester 3!
New Procedures:
Test Corrections and Retakes: These will only be offered if ALL homework from a unit is completed. Test corrections and retakes are offered until the next chapter/unit test or assessment.
FINAL TEST June 8th and 9th
Ms. Wood's Note Sheet:
Notes Sheet.doc
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Review 1:
Reveiw 1.docx
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Review 2:
Review 2.doc
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Review 3:
Review 3.doc
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REVIEW KEYS:
Review Keys.pdf
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Probability Assignments
HW11 Probability and Odds
HW11 Probability and Odds.doc
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HW 11 KEY:
HW11 Key.pdf
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HW12 And/Or Probabilities:
HW12 And Or Problems.doc
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HW12 Key:
HW12 Key.pdf
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HW13 Counting Principles :
HW13 Counting Principles.doc
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Graphing Quadratics Quiz 5/19/2011
GRAPHING QUADRATICS REVIEW KEY:
Graphing Quadratics Review Key.pdf
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Friday 5/13/2011: Practice Graphing
Make a Table and Solve by Graphing
More about Vertex Form: Graphing Parabolas in Vertex Form
This is the website we used in class!**
Tuesday 5/10/2011 -Thursday 5/12/2011 Graphing Quadratics
We worked to find patterns between equations and setting up graphsTo graph a quadratic:
1.) Find the vertex point, and put it in the middle of your x-y Table
2.) Finish your x-list based on the vertex. Plug x-values into the equation to find the y-values.
3.) Plot (x,y) pairs on the graph. Connect the dots.
Video Example for Graphing: Graph Video
Notes on Graphing:
HW10 due Monday 5/16:
Monday 5/9/2011 Quadratics in Real Life
We talked about situations that involve quadratic types of relationships, such as throwing a ball, diving from a cliff, and being shooting a firework.Vocab:
- Parabola: The shape of a quadratic graph (u-shape)
- Roots: The zeros, solutions, or x-intercepts
- Vertex: The highest or lowest point on a parabola
- Starting Point: The y-intercept
- Axis of Symmetry: The line that cuts the parabola in half. Goes through the vertex
Problem Solving Activity HW9:Solving Quadratics Test 5/5/2011
STUDY GUIDE:
Solving Quadratics Review.doc
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STUDY GUIDE KEY:
Solving Quadratics STUDY GUIDE KEY.pdf
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**If this document shows up the wrong direction:
-Go to VIEW menu-Drag down to "Rotate Document View"
-Click on the Clockwise Pop Up
NOTES SHEET:
Quadratics Notes.pdf
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Need Help Solving Quadratics? Go to this website: Solving Quadratics
Monday 5/2/2011 Solving with the Quadratic Equation
You can use the formula to solve any equation in the form 0 = ax2 + bx + c
Example:
Wednesday 4/27/2011 Solving with Square Roots
Square roots undo the exponent of 2 (squaring) and help us answer "what times itself is the number under the sign?"Example:
Practice Assignments:
Tuesday 4/26/2011 Solving by Factoring
What are we finding by factoring?The roots of a quadratic are the answers we tend to look for. They are where ax2 + bx + c = 0 and where the U-shaped graph touches the x-axis.
Complete the investigation to see how factoring can help you to find zeros or roots of quadratic equations.
Example: In the picture the roots (answers) are x = -3 and x = 2
INVESTIGATION
Monday 4/25/2011 Intro to Quadratics
A quadratic function is one that can be written as ax2 + bx + c
We have three methods for finding the x-values with solve a quadratic equation:1.) Factoring ( ) ( ) = 0
2. ) Square Roots
3.) Quadratic Formula
We did factoring practice in class today!
==
Polynomials Test 4/21/2011==
Polynomials Review:
Polynomials Test 2 Review.doc
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Review Key:Review Key Part 2 (half sheet):
Friday 4/15/2011 Factoring Trinomials
We are practicing breaking down trinomials (three terms) into two binomials.
( ) ( )
Use the box method to undo FOIL.
- The first term goes in the first box.
- The last term goes in the last box.
- Multiply the first coefficient by the last.
- Find factors of the product. Choose the pair that adds up to the coefficient of the second term.
- Put these two factor into the middle boxes.
- Find the GCF of the top row.
- Fill in the leftovers across the top.
- Find the final factor for the side.
- Check to make sure the last works out.
- Write your two binomial factors from the sides of the box.
HW7 Factoring Trinomialsdue 4/19/2011
Factoring Videos: Factoring Example 1
Factoring Example 2
Box Method Factoring
Thursday 4/14/2011 Factoring the GCF
Find the Greatest Common Factor (GCF) for each of the terms in the polynomial. Divide it out.The GCF is the biggest number that goes into every term evenly.
Factored Form: GCF(leftover)
HW 6 due 4/18/2011
Polynomials Quiz 4/12/2011
Thursday 4/7/2011 Multiplying Binomials
Every term must be multiplied by every term in the following pattern.
F: first terms
O: outside terms
I: inside terms
L: last terms
Combine like terms to get your final answer.
HW 5 due 4/11/2011
HW5 FOIL.doc
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Wednesday 4/6/2011 Multiplying and Dividing Polynomials
Finish HW4
Multiplication: Use exponent rules and distributive property.
Example: 2x ( x + 4) = 2x^2 + 8xDivision: Use the distributive property.
See notes from class.Tuesday 4/5/2011 Polynomials
Names:6 Constant (1 term, no variables)
4x Mononmial (1 term)
4x + 18 Binomial (2 terms)
4x^3 + 5x + 11 Trinomial (3 terms)
Standard Form: Terms are in order from the highest exponent to the lowest exponent.
Example: 14x^3 + 8x^5 - 2x should be 8x^5 + 14x^3 - 2x
Addition: Combine Like Terms
HW4 due Friday 4/8/2011
HW 4 Key
Exponential Equations Test 3/31/2011
Test Thursday! Study Guide (blank):
Exponential Equations Study Guide.doc
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Study Guide Key:Notes and Directions:
Scientific Notation and Linear, Growth, Decay (NO CALCULATOR SECTION):
Graphing Exponentials (CALCULATOR OK!):
Growth and Decay Video
Monday 3/28/2011Solving Growth and Decay Problems
Growth y = a (1+r)^x
Decay y = a (1 -r) ^x
HW 3 due Wednesday 3/30/2011
HW 3 Growth and Decay.doc
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3/24/2011 Exponential Equations
Graphs: Curve or Line
Tables: Look for pattern-- growth is multiplication, decay is division, linear is addition or subtraction
Equations: y = a (b)^x where a is the start value and b is the multiplier
HW2 due 3/29/2011
Exponential Equations WS.doc
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Scienfic Notation 3/22-3/23/2011
Scientific Notation: (a number 1-10) x 10^(power)
The power tells you how many places to move the decimal in order to get the normal number.Video Examples: Word Problem
Examples of Numbers
HW 1 due 3/24/2011
HW 1 Scientific Notation.doc
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Exponents Quiz 3/10/2011
Exponents Study Guide (blank)
Exponents Study Guide.doc
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Exponents Review Key
Exponents Study Guide Key.doc
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Monday 3/07/2011: Exponent Laws for Zero and Negative ExponentsAnything to the zero power is 1.
Negative exponents become fractions.
Examples:
Thursday 3/03/2011: Exponent Laws for Division
When dividing, you can subtract the exponents.
Examples:
Wednesday 3/02/2011: Exponent Laws for Exponents raised to Powers (a power to a power)
When you have a power raised to another power, you can multiply the exponents.
Example:
Tuesday 3/01/2011: Exponent Laws for Multiplication
When you multiply two things with the same base, you can add the exponents.
Example:
Exponent Law Worksheets: